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Finding the Fourth Proportional to 508,046.40, 701,195.40 and 293,156.64

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Solution

The fourth proportional to 508,046.40, 701,195.40 and 293,156.64 is: 404,608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,046.40 : 701,195.40 = 293,156.64 : x
  2. Step 2: Convert to fraction form
    508,046.40/701,195.40 = 293,156.64/x
  3. Step 3: Cross multiply
    508,046.40x = 701,195.40 × 293,156.64
  4. Step 4: Simplify right side
    508,046.40x = 205,560,087,447.46
  5. Step 5: Solve for x
    x = 205,560,087,447.46/508,046.40
  6. Step 6: Final answer
    x = 404,608.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.